Nonlinear Sigma Model for Disordered Media: Replica Trick for Non-Perturbative Results and Interactions
| dc.creator | Lerner, Igor V. | |
| dc.date | 2002-05-27 | |
| dc.date.accessioned | 2026-07-07T02:45:38Z | |
| dc.date.available | 2026-07-07T02:45:38Z | |
| dc.description | In these lectures, given at the NATO ASI at Windsor (2001), applications of the replicas nonlinear sigma model to disordered systems are reviewed. A particular attention is given to two sets of issues. First, obtaining non-perturbative results in the replica limit is discussed, using as examples (i) an oscillatory behaviour of the two-level correlation function and (ii) long-tail asymptotes of different mesoscopic distributions. Second, a new variant of the sigma model for interacting electrons in disordered normal and superconducting systems is presented, with demonstrating how to reduce it, under certain controlled approximations, to known ``phase-only'' actions, including that of the ``dirty bosons'' model. | |
| dc.description | 25 pages, Proceedings of the NATO ASI "Field Theory of Strongly Correlated Fermions and Bosons in Low - Dimensional Disordered Systems", Windsor, August, 2001; to be published by Kluwer | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0205555 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0205555 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19366 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Superconductivity | |
| dc.title | Nonlinear Sigma Model for Disordered Media: Replica Trick for Non-Perturbative Results and Interactions | |
| dc.type | text |